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Finding the Fourth Proportional to 4,977, 6,868.26 and 2,881.26

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Solution

The fourth proportional to 4,977, 6,868.26 and 2,881.26 is: 3,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 6,868.26 = 2,881.26 : x
  2. Step 2: Convert to fraction form
    4,977/6,868.26 = 2,881.26/x
  3. Step 3: Cross multiply
    4,977x = 6,868.26 × 2,881.26
  4. Step 4: Simplify right side
    4,977x = 19,789,242.81
  5. Step 5: Solve for x
    x = 19,789,242.81/4,977
  6. Step 6: Final answer
    x = 3,976.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.